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6066432 = 28322633
BaseRepresentation
bin10111001001000100000000
3102102012120200
4113021010000
53023111212
6334005200
7102364251
oct27110400
912365520
106066432
113473889
122046800
131345308
14b3cb28
157ec6dc
hex5c9100

6066432 has 54 divisors (see below), whose sum is σ = 17497662. Its totient is φ = 2021376.

The previous prime is 6066413. The next prime is 6066443. The reversal of 6066432 is 2346606.

It can be written as a sum of positive squares in only one way, i.e., 4260096 + 1806336 = 2064^2 + 1344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6066396 and 6066405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 988 + ... + 3620.

Almost surely, 26066432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6066432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8748831).

6066432 is an abundant number, since it is smaller than the sum of its proper divisors (11431230).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6066432 is a wasteful number, since it uses less digits than its factorization.

6066432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 6066432 is about 2463.0127892482. The cubic root of 6066432 is about 182.3802379328.

The spelling of 6066432 in words is "six million, sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 2633 5266 7899 10532 15798 21064 23697 31596 42128 47394 63192 84256 94788 126384 168512 189576 252768 337024 379152 505536 674048 758304 1011072 1516608 2022144 3033216 6066432